Suisham was last in Dallas in 2006, finishing up a two-year stint with the team.
Unfortunately the five-year pro was released by Washington on Dec. 8 after missing a key kick - the same problem that cost Folk his job Monday.
Folk, a former Pro Bowler, has struggled all season, leading the league in missed field goals with 10. He almost cost Dallas a win at New Orleans when he hit the right upright Saturday night on an easy 24-yarder that would have put away a 24-17 victory late in the fourth quarter.
Instead the Cowboys needed a last-second defensive stand to win their ninth game of the year.
Folk was 18-of-28 this season for the Cowboys before being released.
Suisham is 85-of-107 (79.4 percent) in his NFL career. He originally signed with Pittsburgh in 2005 after a strong career at Bowling Green.
He then went to the Cowboys' practice squad and was signed to the active roster on Oct. 24 of that year, playing in three games before being released.
Back with Dallas in 2006, he played in three games and was 1-for-2 before again being cut. He finished the year with the Redskins, appearing in five games and converting eight of nine field goals.
Suisham played in 16 games for the Redskins in 2007 (29 of 35) and 2008 (26 of 36) and 12 games this year before being released.